Finite Group Databasebeta

← Group #11867122

Character table — Group #11867122

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222224444444444444488888888888888888888888888881616161616161616161616161616161618181818181818183636363672727272
order122233334466666666666624888812121212121212122244666612121212242424242424242424242424242424246666666612121212121212122222444488882444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1
χ6111111111111111111111111-1-1-1-1111111111-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ7111111111111111111111111-1-1-1-111111111-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11-1-11
χ8111111111111111111111111-1-1-1-111111111-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1
χ91111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ111111111111111111111111-1-111-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-111
χ121111111111111111111111-1-111-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11111-1-1
χ131111111111111111111111-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-11-11
χ141111111111111111111111-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11-11-1
χ151111111111111111111111-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1111-11-1
χ161111111111111111111111-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-11-11
χ1722222222-2-22222222222222-20000-2-2-2-2-2-2-2-200002222-2-2-2-2000000000000000000000000000000002222-2-2-2-200000000
χ1822222222-2-22222222222222-20000-2-2-2-2-2-2-2-200002222-2-2-2-200000000000000000000000000000000-2-2-2-2222200000000
χ1922222222-2-2222222222222-220000-2-2-2-2-2-2-2-20000-2-2-2-222220000000000000000000000000000000022-2-2-2-22200000000
χ2022222222-2-2222222222222-220000-2-2-2-2-2-2-2-20000-2-2-2-2222200000000000000000000000000000000-2-22222-2-200000000
χ2122222-1-1-122222-1-1-1-1-1-1-1-1-12222222-1-1-12-1-1-122222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-10000000000000000
χ2222222-1-1-122222-1-1-1-1-1-1-1-1-12222222-1-1-12-1-1-1-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2111-2111-2111-21110000000000000000
χ2322222-1-1-122222-1-1-1-1-1-1-1-1-122-2-2-2-22-1-1-12-1-1-12-22-22-1-1-12-1-1-1-2-2111111-2-21111112-1-1-1-21112-1-1-1-21110000000000000000
χ2422222-1-1-122222-1-1-1-1-1-1-1-1-122-2-2-2-22-1-1-12-1-1-1-22-222-1-1-12-1-1-1-2-2111111-2-2111111-21112-1-1-1-21112-1-1-10000000000000000
χ2522222-1-1-122222-1-1-1-1-1-1-1-1-1-2-222-2-22-1-1-12-1-1-122-2-2-2111-211122-1-1-1-1-1-1-2-21111112-1-1-12-1-1-1-2111-21110000000000000000
χ2622222-1-1-122222-1-1-1-1-1-1-1-1-1-2-222-2-22-1-1-12-1-1-1-2-222-2111-211122-1-1-1-1-1-1-2-2111111-2111-21112-1-1-12-1-1-10000000000000000
χ2722222-1-1-122222-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-12-1-1-12-2-22-2111-2111-2-211111122-1-1-1-1-1-12-1-1-1-2111-21112-1-1-10000000000000000
χ2822222-1-1-122222-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-12-1-1-1-222-2-2111-2111-2-211111122-1-1-1-1-1-1-21112-1-1-12-1-1-1-21110000000000000000
χ292222-12-1-122-1-1-1222-1-1-1-1-1-1222222-12-1-1-12-1-12222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-10000000000000000
χ302222-12-1-122-1-1-1222-1-1-1-1-1-1222222-12-1-1-12-1-1-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-11-2111-2111-2111-2110000000000000000
χ312222-12-1-122-1-1-1222-1-1-1-1-1-122-2-2-2-2-12-1-1-12-1-12-22-2-12-1-1-12-1-111-2-2111111-2-21111-12-1-11-211-12-1-11-2110000000000000000
χ322222-12-1-122-1-1-1222-1-1-1-1-1-122-2-2-2-2-12-1-1-12-1-1-22-22-12-1-1-12-1-111-2-2111111-2-211111-211-12-1-11-211-12-1-10000000000000000
χ332222-12-1-122-1-1-1222-1-1-1-1-1-1-2-222-2-2-12-1-1-12-1-122-2-21-2111-211-1-122-1-1-1-111-2-21111-12-1-1-12-1-11-2111-2110000000000000000
χ342222-12-1-122-1-1-1222-1-1-1-1-1-1-2-222-2-2-12-1-1-12-1-1-2-2221-2111-211-1-122-1-1-1-111-2-211111-2111-211-12-1-1-12-1-10000000000000000
χ352222-12-1-122-1-1-1222-1-1-1-1-1-1-2-2-2-222-12-1-1-12-1-12-2-221-2111-21111-2-21111-1-122-1-1-1-1-12-1-11-2111-211-12-1-10000000000000000
χ362222-12-1-122-1-1-1222-1-1-1-1-1-1-2-2-2-222-12-1-1-12-1-1-222-21-2111-21111-2-21111-1-122-1-1-1-11-211-12-1-1-12-1-11-2110000000000000000
χ372222-1-12-122-1-1-1-1-1-1222-1-1-1222222-1-12-1-1-12-12222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1-1-12-10000000000000000
χ382222-1-12-122-1-1-1-1-1-1222-1-1-1222222-1-12-1-1-12-1-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-111-2111-2111-2111-210000000000000000
χ392222-1-12-122-1-1-1-1-1-1222-1-1-122-2-2-2-2-1-12-1-1-12-12-22-2-1-12-1-1-12-11111-2-2111111-2-211-1-12-111-21-1-12-111-210000000000000000
χ402222-1-12-122-1-1-1-1-1-1222-1-1-122-2-2-2-2-1-12-1-1-12-1-22-22-1-12-1-1-12-11111-2-2111111-2-21111-21-1-12-111-21-1-12-10000000000000000
χ412222-1-12-122-1-1-1-1-1-1222-1-1-1-2-222-2-2-1-12-1-1-12-122-2-211-2111-21-1-1-1-122-1-11111-2-211-1-12-1-1-12-111-2111-210000000000000000
χ422222-1-12-122-1-1-1-1-1-1222-1-1-1-2-222-2-2-1-12-1-1-12-1-2-22211-2111-21-1-1-1-122-1-11111-2-21111-2111-21-1-12-1-1-12-10000000000000000
χ432222-1-12-122-1-1-1-1-1-1222-1-1-1-2-2-2-222-1-12-1-1-12-12-2-2211-2111-211111-2-211-1-1-1-122-1-1-1-12-111-2111-21-1-12-10000000000000000
χ442222-1-12-122-1-1-1-1-1-1222-1-1-1-2-2-2-222-1-12-1-1-12-1-222-211-2111-211111-2-211-1-1-1-122-1-111-21-1-12-1-1-12-111-210000000000000000
χ452222-1-1-1222-1-1-1-1-1-1-1-1-1222222222-1-1-12-1-1-122222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-120000000000000000
χ462222-1-1-1222-1-1-1-1-1-1-1-1-1222222222-1-1-12-1-1-12-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122111-2111-2111-2111-20000000000000000
χ472222-1-1-1222-1-1-1-1-1-1-1-1-122222-2-2-2-2-1-1-12-1-1-122-22-2-1-1-12-1-1-12111111-2-2111111-2-2-1-1-12111-2-1-1-12111-20000000000000000
χ482222-1-1-1222-1-1-1-1-1-1-1-1-122222-2-2-2-2-1-1-12-1-1-12-22-22-1-1-12-1-1-12111111-2-2111111-2-2111-2-1-1-12111-2-1-1-120000000000000000
χ492222-1-1-1222-1-1-1-1-1-1-1-1-1222-2-222-2-2-1-1-12-1-1-1222-2-2111-2111-2-1-1-1-1-1-122111111-2-2-1-1-12-1-1-12111-2111-20000000000000000
χ502222-1-1-1222-1-1-1-1-1-1-1-1-1222-2-222-2-2-1-1-12-1-1-12-2-222111-2111-2-1-1-1-1-1-122111111-2-2111-2111-2-1-1-12-1-1-120000000000000000
χ512222-1-1-1222-1-1-1-1-1-1-1-1-1222-2-2-2-222-1-1-12-1-1-122-2-22111-2111-2111111-2-2-1-1-1-1-1-122-1-1-12111-2111-2-1-1-120000000000000000
χ522222-1-1-1222-1-1-1-1-1-1-1-1-1222-2-2-2-222-1-1-12-1-1-12-222-2111-2111-2111111-2-2-1-1-1-1-1-122111-2-1-1-12-1-1-12111-20000000000000000
χ532-22-222222-22-2-22-2-22-2-22-2-200002i−2i2222-2-2-2-2000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000002-2002-200002i−2i0000
χ542-22-222222-22-2-22-2-22-2-22-2-200002i−2i2222-2-2-2-2000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000-2200-220000−2i2i0000
χ552-22-222222-22-2-22-2-22-2-22-2-20000−2i2i2222-2-2-2-200000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000002-2002-20000−2i2i0000
χ562-22-222222-22-2-22-2-22-2-22-2-20000−2i2i2222-2-2-2-200000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000-2200-2200002i−2i0000
χ572-22-22222-222-2-22-2-22-2-22-2-2002-200-2-2-2-222220000000000002-22-22-22-20000000000000000000000002-200-22002-2000000
χ582-22-22222-222-2-22-2-22-2-22-2-2002-200-2-2-2-222220000000000002-22-22-22-2000000000000000000000000-22002-200-22000000
χ592-22-22222-222-2-22-2-22-2-22-2-200-2200-2-2-2-22222000000000000-22-22-22-220000000000000000000000002-200-2200-22000000
χ602-22-22222-222-2-22-2-22-2-22-2-200-2200-2-2-2-22222000000000000-22-22-22-22000000000000000000000000-22002-2002-2000000
χ6144444-2-2-2-4-4444-2-2-2-2-2-2-2-2-24-40000-4222-422200004-2-2-2-4222000000000000000000000000000000000000000000000000
χ6244444-2-2-2-4-4444-2-2-2-2-2-2-2-2-2-440000-4222-42220000-42224-2-2-2000000000000000000000000000000000000000000000000
χ634444-24-2-2-4-4-2-2-2444-2-2-2-2-2-24-400002-4222-4220000-24-2-22-422000000000000000000000000000000000000000000000000
χ644444-24-2-2-4-4-2-2-2444-2-2-2-2-2-2-4400002-4222-42200002-422-24-2-2000000000000000000000000000000000000000000000000
χ654444-2-24-2-4-4-2-2-2-2-2-2444-2-2-24-4000022-4222-420000-2-24-222-42000000000000000000000000000000000000000000000000
χ664444-2-24-2-4-4-2-2-2-2-2-2444-2-2-2-44000022-4222-42000022-42-2-24-2000000000000000000000000000000000000000000000000
χ674444-2-2-24-4-4-2-2-2-2-2-2-2-2-24444-40000222-4222-40000-2-2-24222-4000000000000000000000000000000000000000000000000
χ684444-2-2-24-4-4-2-2-2-2-2-2-2-2-2444-440000222-4222-40000222-4-2-2-24000000000000000000000000000000000000000000000000
χ6944-4-4444400-44-4-44-4-44-4-44-400000000000000000000000000000000000000000000000000000000000000004i−4i00000000
χ7044-4-4444400-44-4-44-4-44-4-44-40000000000000000000000000000000000000000000000000000000000000000−4i4i00000000
χ714-44-44-2-2-24-44-4-4-222-222-22200004i−4i4-2-2-2-4222000000000000000000004i−4i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ724-44-44-2-2-24-44-4-4-222-222-2220000−4i4i4-2-2-2-422200000000000000000000−4i4i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ734-44-44-2-2-2-444-4-4-222-222-222004-400-42224-2-2-20000000000004-4-22-22-220000000000000000000000000000000000000000
χ744-44-44-2-2-2-444-4-4-222-222-22200-4400-42224-2-2-2000000000000-442-22-22-20000000000000000000000000000000000000000
χ754-44-4-24-2-24-4-2224-4-4-222-22200004i−4i-24-2-22-42200000000000000000000−2i2i4i−4i−2i2i−2i2i00000000000000000000000000000000
χ764-44-4-24-2-24-4-2224-4-4-222-2220000−4i4i-24-2-22-422000000000000000000002i−2i−4i4i2i−2i2i−2i00000000000000000000000000000000
χ774-44-4-24-2-2-44-2224-4-4-222-222004-4002-422-24-2-2000000000000-224-4-22-220000000000000000000000000000000000000000
χ784-44-4-24-2-2-44-2224-4-4-222-22200-44002-422-24-2-20000000000002-2-442-22-20000000000000000000000000000000000000000
χ794-44-4-2-24-24-4-222-2224-4-4-22200004i−4i-2-24-222-4200000000000000000000−2i2i−2i2i4i−4i−2i2i00000000000000000000000000000000
χ804-44-4-2-24-24-4-222-2224-4-4-2220000−4i4i-2-24-222-42000000000000000000002i−2i2i−2i−4i4i2i−2i00000000000000000000000000000000
χ814-44-4-2-24-2-44-222-2224-4-4-222004-40022-42-2-24-2000000000000-22-224-4-220000000000000000000000000000000000000000
χ824-44-4-2-24-2-44-222-2224-4-4-22200-440022-42-2-24-20000000000002-22-2-442-20000000000000000000000000000000000000000
χ834-44-4-2-2-244-4-222-222-2224-4-400004i−4i-2-2-24222-400000000000000000000−2i2i−2i2i−2i2i4i−4i00000000000000000000000000000000
χ844-44-4-2-2-244-4-222-222-2224-4-40000−4i4i-2-2-24222-4000000000000000000002i−2i2i−2i2i−2i−4i4i00000000000000000000000000000000
χ854-44-4-2-2-24-44-222-222-2224-4-4004-400222-4-2-2-24000000000000-22-22-224-40000000000000000000000000000000000000000
χ864-44-4-2-2-24-44-222-222-2224-4-400-4400222-4-2-2-240000000000002-22-22-2-440000000000000000000000000000000000000000
χ874-4-44444400-4-44-4-44-4-44-4-440000000000000000000000000000000000000000000000000000000000004-4000000000000
χ884-4-44444400-4-44-4-44-4-44-4-44000000000000000000000000000000000000000000000000000000000000-44000000000000
χ8988-8-88-4-4-400-88-84-444-444-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-48-4-4004-44-88-84-444-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-48-4004-444-44-88-84-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-4-48004-444-444-44-88-800000000000000000000000000000000000000000000000000000000000000000000000000
χ938-8-888-4-4-400-8-8844-444-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-48-4-40044-4-8-8844-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-48-40044-444-4-8-8844-400000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4-480044-444-444-4-8-8800000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).